The length of an arc of a circle is the product of the measure of the arc divided by 360 and the circumference of the circle.
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The length of an arc of a circle is the product of the measure of the arc divided by 360 and the circumference of the circle.
length of AB=mAB/360 * 2π r
Therefore, to find the length of the desired arc we first need to find its measure. The measure of a minor arc is equal to the measure of its corresponding central angle. We are told that the measure of the central angle is 160^(∘). Therefore, its corresponding arc measures 160^(∘).
We are also given that the radius of the circle is 4.5 millimeters. We can now substitute mAB= 160 and r=4.5 in the formula for the arc length, and simplify.
